基本素養 Basic Literacy

文化傳承
Culture transition
歷史意識
Historical consciousness
藝術涵養
Artistic literacy
公民素養
Civil literacy
社會關懷
Social concern
經世濟民
Benefit people and the society
國際視野
International Perspective

核心能力 Competence

鞏固系定基礎知識
Consolidate fundamental knowledge in economics
獲得跨領域的多樣化知識
Acquire diversified knowledge from interdisciplinary fields
熟悉經濟分析工具
Be familiar with tools for economic analysis
擴展經濟應用
Expand economic applications
語文與溝通能力
Language proficiency and communication ability
創新與領導能力
Innovative and Leadership Abilities

課程概述 Course Description

基本統計學包含敘述統計與推論統計,敘述統計是將資料組織及彙整, 並加以綜合描述的方法,推論統計是利用各種測度來解釋樣本資料,並推論母體的特性,由於推論統計是近代統計學的核心,因此本課程除了介紹敘述統計的方法之外,將著重於推論統計,特別是其推論方法的機率觀念,為了能夠更清楚地掌握統計觀念,我們將利用數學推導來說明(或證明)重要結果。
The basic statistics include descriptive statistics and inferential statistics. The former is to organize and to summarize the data in a systematic way so as to reach comprehensive statement for the sample; the latter is to use various measures to characterize the sample and patterns in the data may be modeled in a way that accounts for randomness and uncertainty in the observations, and are then used to draw inferences about the process or population being studied. The inferential statistics is the core of the modern statistics and thus this course will emphasize the inferential statistics other than the methods of descriptive statistics. In particular, this course is concerned with the theoretical basis of the statistics using probability theory in order to clearly grasp the major concept of statistics. The mathematical methods will be employed to exemplify (or prove) the important statistical theory.

課程學習目標 Course Objectives

The topics of Mathematical Statistics include the probability theory, random variables, the discrete and continuous probability distributions, the estimation and testing hypothesis. In addition to be familiar with the theory behind statistics, which is the basic objective of this course, the students are expected to understand and appreciate the essence of the theoretical background.

課程進度 Course Outline

週次 Week進度說明 Progress Description
1Probability and Distributions
2Probability and Distributions
3Multivariate Distributions
4Multivariate Distributions
5Some special Distributions
6Some special Distributions
7Some Elementary Statistical Inferences
8Some Elementary Statistical Inferences
9Midterm
10Consistency and Limiting Distributions
11Consistency and Limiting Distributions
12Maximum Likelihood Methods
13Maximum Likelihood Methods
14Sufficiency
15Sufficiency
16Optimal Tests of Hypotheses
17Optimal Tests of Hypotheses
18Final
 以上每週進度教師可依上課情況做適度調整。The schedule may be subject to change.

課程學習融入下列議題或具有下列內涵的程度
Immersing the Following Issues or Contents

議題或內容 Issues or Contents關聯性 Correlation
生命教育 Life Education 無相關 No correlation
服務學習 Service Learning 無相關 No correlation
性別平等 Gender Equity 無相關 No correlation
環境安全 Environmental Safety 無相關 No correlation
環境保護 Environmental Protection 無相關 No correlation
智慧財產權 Intellectual Property 無相關 No correlation
法治教育 Law-Related Education 無相關 No correlation
人權教育 Human Rights Education 無相關 No correlation

有關課程其他調查 Other Surveys of Courses

1.本課程是否規劃業界教師參與教學或演講? 否
Is there any industry specialist invited in this course? How many times? No
2.本課程是否規劃含校外實習(並非參訪)? 否
Are there any internships involved in the course? How many hours? No